Three objects each have mass mm$.$ Each object feels a force from the other two, but not from any other object. Initially the first object is at x$=$Lx$=$L$,$ y$=0$y$=0$; the second object is at x$=+$Lx$=+$L$,$ y$=0$y$=0$; and the third object is at x$=0$x$=0,$ y$=$Ly$=$L$.$ The momentum of the system of the particles at the initial time is zero. At a later time the first object is at x$=$L$/3$x$=$L$/3,$ y$=+$L$/4$y$=+$L$/4$; and the second object is at x$=+$L$/2$x$=+$L$/2,$ y$=$Ly$=$L$.$ At this later time, where is the third object? Find the xx$-$position of the third object.

Express your answer in terms of LL$.$

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